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TitleDifferential invariants of a Lie group action: Syzygies on a generating set
Author(s) Evelyne Hubert
TypeArticle in Journal
AbstractGiven a group action, known by its infinitesimal generators, we exhibit a complete set of syzygies on a generating set of differential invariants. For that we elaborate on the reinterpretation of Cartan’s moving frame by Fels and Olver [Fels, M., Olver, P.J., 1999. Moving coframes. II. Regularization and theoretical foundations. Acta Appl. Math. 55 (2), 127–208]. This provides constructive tools for exploring algebras of differential invariants.
KeywordsLie group actions, Differential invariants, Syzygies, Differential algebra, Symbolic computation
ISSN0747-7171
URL http://www.sciencedirect.com/science/article/pii/S0747717108001089
LanguageEnglish
JournalJournal of Symbolic Computation
Volume44
Number4
Pages382 - 416
Year2009
Edition0
Translation No
Refereed No
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